Skip to main content
. Author manuscript; available in PMC: 2008 Nov 1.
Published in final edited form as: Comput Methods Programs Biomed. 2007 Oct 17;88(2):182–190. doi: 10.1016/j.cmpb.2007.08.006

Fig. 4.

Fig. 4

A 3D example: (a) a solid shape made of the edges of a cube and blurred into a volumetric scalar image, (b) the same object corrected to have spherical topology, (c) the corrected object after adding noise to (a). The propagation is started from a single point of the hidden corner on the back. After the propagation, the corrected object has cuts that preserve the spherical topology of the original point. The cuts respect the symmetry of the original object because the propagation is identical in all directions. If we add some noise to the image, the symmetry is broken and the cuts adopt a more conventional shape.